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Related Experiment Videos

Dephasing and weak localization in disordered Luttinger liquid.

I V Gornyi1, A D Mirlin, D G Polyakov

  • 1Institut für Nanotechnologie, Forschungszentrum Karlsruhe, Germany.

Physical Review Letters
|August 11, 2005
PubMed
Summary

In disordered quantum wires, electron interactions and disorder cause conductivity. Weak localization effects are observed in these strongly correlated systems, vanishing in clean limits.

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Area of Science:

  • Condensed matter physics
  • Quantum transport phenomena

Background:

  • Quantum wires exhibit unique electron transport properties due to dimensionality and interactions.
  • Disorder in quantum systems can lead to localization effects, altering conductivity.

Purpose of the Study:

  • To investigate the transport properties of interacting electrons in a disordered quantum wire.
  • To explore the applicability of weak localization in strongly correlated one-dimensional electron systems.
  • To calculate the dephasing rate in such systems.

Main Methods:

  • Utilizing the Luttinger liquid model to describe electron behavior.
  • Analyzing conductivity at finite temperatures.
  • Calculating the dephasing rate considering electron-electron interactions and disorder.

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Main Results:

  • Finite temperature conductivity arises solely from inelastic electron-electron scattering.
  • Weak localization is demonstrated to be applicable to strongly correlated one-dimensional electron systems.
  • The dephasing rate for spinless electrons depends on the interplay between electron-electron interaction and disorder.

Conclusions:

  • Inelastic electron-electron scattering is crucial for conductivity in disordered quantum wires.
  • The Luttinger liquid model provides a framework to understand weak localization in these systems.
  • The dephasing rate vanishes in the clean limit, highlighting the role of disorder and interactions.